Extensions 1→N→G→Q→1 with N=C₅ and Q=C₆xD₅

Direct product G=NxQ with N=C₅ and Q=C₆xD₅

		d	ρ	Label	ID
D₅xC₃₀		60	2	D5xC30	300,44

Semidirect products G=N:Q with N=C₅ and Q=C₆xD₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅:₁(C₆xD₅) = C₃xD₅²	φ: C₆xD₅/C₃xD₅ → C₂ ⊆ Aut C₅	30	4	C5:1(C6xD5)	300,36
C₅:₂(C₆xD₅) = C₆xC₅:D₅	φ: C₆xD₅/C₃₀ → C₂ ⊆ Aut C₅	150		C5:2(C6xD5)	300,45

Non-split extensions G=N.Q with N=C₅ and Q=C₆xD₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(C₆xD₅) = C₆xD₂₅	φ: C₆xD₅/C₃₀ → C₂ ⊆ Aut C₅	150	2	C5.(C6xD5)	300,9

Extensions 1→N→G→Q→1 with N=C5 and Q=C6xD5